NEW FAMILIES OF HYPERBOLIC TWISTED TORUS KNOTS WITH GENERALIZED TORSION

被引：0
|
作者：
Himeno, Keisuke [1 ]
Teragaito, Masakazu [2 ]
机构：
[1] Hiroshima Univ, Grad Sch Adv Sci & Engn, 1-3-1 Kagamiyama, Higashihiroshima 7398526, Japan
[2] Hiroshima Univ, Dept Math & Math Educ, 1-1-1 Kagamiyama, Higashihiroshima 7398524, Japan
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 60卷 / 01期
关键词：
Twisted torus knots; generalized torsion; DEHN SURGERY;
D O I：
10.4134/BKMS.b220055
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalized torsion element is an obstruction for a group to admit a bi-ordering. Only a few classes of hyperbolic knots are known to admit such an element in their knot groups. Among twisted torus knots, the known ones have their extra twists on two adjacent strands of torus knots. In this paper, we give several new families of hyperbolic twisted torus knots whose knot groups have generalized torsion. They have extra twists on arbitrarily large numbers of adjacent strands of torus knots.
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页码：203 / 223
页数：21
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